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Answer:
Velocity- v=10m/s south Speed- v=10m/s
Explanation:
the salar measurement of how fast an object is moving.
Velocity- v=10m/s south :
The vector rate of change of position.
Speed- v=10 m/s : the salar measurement of how fast an object is moving.
The velocity of the mass of 4 kg at 0.5 m is 1.732 m/sec. And the velocity of the mass of 4 kg at 0.3 m is 1.34 m/sec.
The sum of kinetic energy and the potential energy of the body is constant. which is the energy of the remains conserved. This is known as energy conversion.
A spring has K=24 N/m.
We put in its end an object with 4 kg.
If we pull the object 0.5 m. Then the velocity will be given by the conservation of energy.
[tex]\begin{aligned} \rm K.E \ of \ mass &= \rm P.E. \ of \ spring\\\\ \dfrac{1}{2} m v^2 &= \dfrac{1}{2} kx^2\\\\\dfrac{1}{2}*4*v^2 &= \dfrac{1}{2} * 24 * 0.5\\\\v^2 &= 3\\\\v &= \sqrt{3} \\\\v &= 1.732 \ \ \rm m/sec \end{aligned}[/tex]
The speed at 0.3 m from the balance point. Then the velocity will be given by the conservation of energy.
[tex]\begin{aligned} \rm K.E \ of \ mass &= \rm P.E. \ of \ spring\\\\ \dfrac{1}{2} m v^2 &= \dfrac{1}{2} kx^2\\\\\dfrac{1}{2}*4*v^2 &= \dfrac{1}{2} * 24 * 0.3\\\\v^2 &= 1.8\\\\v &= \sqrt{1.8} \\\\v &= 1.34 \ \ \rm m/sec \end{aligned}[/tex]
More about the energy conservation link is given below.
https://brainly.com/question/2137260